Sommaire du Fascicule no. 2

Erratum: ``On the determinant of elliptic differential and finite difference operators in vector bundles over $S^1$''

Burghelea, D. ; Friedlander, L. ; Kappeler, Th.

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Erratum: ``Conformally invariant differential operators on Minkowski space and their curved analogues''

Eastwood, M. G. ; Rice, J. W.

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Erratum: ``Local conformal field algebras''

Juriev, Denis

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Intersection theory on the moduli space of curves and the matrix Airy function

Kontsevich, Maxim

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p. 1-23

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Quantization of ${\rm SL}(2,{\bf R})$ Chern-Simons theory

Killingback, T. P.

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p. 1-16

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Regularity of harmonic maps with prescribed singularities

Li, Yan Yan ; Tian, Gang

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p. 1-30

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Complex equivariant intersection, excess normal bundles and Bott-Chern currents

Bismut, Jean-Michel

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p. 1-55

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Quantum affine algebras and holonomic difference equations

Frenkel, I. B. ; Reshetikhin, N. Yu.

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p. 1-60

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On multivortices in the electroweak theory. I. Existence of periodic solutions

Spruck, Joel ; Yang, Yi Song

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p. 1-16

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The construction of the sh-Lie-algebra of closed bosonic strings

Wiesbrock, Hans-Werner

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p. 17-42

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Conformal blocks of minimal models on a Riemann surface

Felder, G. ; Silvotti, R.

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p. 17-40

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A matrix integral solution to two-dimensional $W_p$-gravity

Adler, M. ; van Moerbeke, P.

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p. 25-56

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Spectral theory, zeta functions and the distribution of periodic points for Collet-Eckmann maps

Keller, Gerhard ; Nowicki, Tomasz

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p. 31-69

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The unitary irreducible representations of the quantum Heisenberg algebra

Rosenberg, Alexander L.

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p. 41-51

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Classical $N=1\;W$-superalgebras from Hamiltonian reduction

Figueroa-O'Farrill, José M. ; Ramos, Eduardo

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p. 43-55

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On the symplectic geometry of the super Teichmüller space

Uehara, Shozo ; Yasui, Yukinori

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p. 53-86

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The complete matter sector in a three-generation compactification

Berglund, Per ; Hübsch, Tristan ; Parkes, Linda

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p. 57-100

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Generalized Drinfel'd-Sokolov hierarchies

de Groot, Mark F. ; Hollowood, Timothy J. ; Miramontes, J. Luis

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p. 57-84

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Completely integrable gradient flows

Bloch, Anthony M. ; Brockett, Roger W. ; Ratiu, Tudor S.

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p. 57-74

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Quantum ergodicity on the sphere

Zelditch, Steven

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p. 61-71

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On mod $2$ and higher elliptic genera

Liu, Kefeng

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p. 71-95

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On the localization of topological invariants

Gel'fand, I. M. ; Tsygan, B. L.

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p. 73-90

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Rapidly decaying solutions of the nonlinear Schrödinger equation

Cazenave, Thierry ; Weissler, Fred B.

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p. 75-100

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Complete classification of simple current modular invariants for RCFTs with a center $({\bf Z}_p)^k$

Gato-Rivera, B. ; Schellekens, A. N.

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p. 85-121

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A new contribution to nonlinear stability of a discrete velocity model

Babovsky, Hans ; Padula, Mariarosaria

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p. 87-106

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$\overline \partial$-torsion for complex manifolds and the adiabatic limit

Laederich, Stephane

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p. 91-102

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A stochastic theory of adiabatic invariance

Cogburn, R. ; Ellison, J. A.

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p. 97-126

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Explicit solution for $p$-$q$ duality in two-dimensional quantum gravity

Fukuma, Masafumi ; Kawai, Hikaru ; Nakayama, Ryuichi

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p. 101-116

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Self-avoiding walk in five or more dimensions. I. The critical behaviour

Hara, Takashi ; Slade, Gordon

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p. 101-136

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Quantum Riemann surfaces. I. The unit disc

Klimek, Sławomir ; Lesniewski, Andrzej

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p. 103-122

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The $K$-property of four billiard balls

Kråmli, A. ; Simånyi, N. ; Szåsz, D.

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p. 107-148

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Algebraic structure of topological superconformal field theory on Riemann surfaces

Ali, Abbas ; Kumar, Alok ; Maharana, Jnanadeva ; Sengupta, Gautam

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p. 117-137

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Field operators for anyons and plektons

Rehren, Karl-Henning

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p. 123-148

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Decay of correlations for certain quadratic maps

Young, L.-S.

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p. 123-138

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A Lie-theoretic Galois theory for the spectral curves of an integrable system. I

McDaniel, Andrew ; Smolinsky, Lawrence

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p. 127-148

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Nonsmoothness of event horizons of Robinson-Trautman black holes

Chruściel, Piotr T. ; Singleton, David B.

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p. 137-162

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Mathematical models with exact renormalization for turbulent transport. II. Fractal interfaces, non-Gaussian statistics and the sweeping effect

Avellaneda, Marco ; Majda, Andrew

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p. 139-204

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Zeta function continuation and the Casimir energy on odd- and even-dimensional spheres

Dolan, Brian P. ; Nash, Charles

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p. 139-153

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Dynamical entropy of quasi-local algebras in quantum statistical mechanics

Park, Yong Moon ; Shin, Hyun Hye

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p. 149-161

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Tensor products of quantized tilting modules

Andersen, Henning Haahr

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p. 149-159

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Vortex scattering

Samols, T. M.

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p. 149-179

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Equivalence of Gibbs and equilibrium states for homeomorphisms satisfying expansiveness and specification

Haydn, N. T. A. ; Ruelle, D.

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p. 155-167

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Classical states and the BRST charge

McMullan, David

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p. 161-174

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Smoothing properties and retarded estimates for some dispersive evolution equations

Ginibre, J. ; Velo, G.

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p. 163-188

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The Faddeev-Popov procedure and application to bosonic strings: an infinite-dimensional point of view

Paycha, S.

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p. 163-180

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Topological particle field theory, general coordinate invariance and generalized Chern-Simons actions

Kawamoto, Noboru ; Watabiki, Yoshiyuki

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p. 169-176

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The logarithmic Sobolev inequality for discrete spin systems on a lattice

Stroock, Daniel W. ; Zegarliński, Bogusław

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p. 175-193

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On the integrability of the super-KdV equation

McArthur, I. N.

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p. 177-188

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A second proof of the Payne-Pólya-Weinberger conjecture

Ashbaugh, Mark S. ; Benguria, Rafael D.

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p. 181-190

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Growth and integrability in the dynamics of mappings

Veselov, Alexander P.

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p. 181-193

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On holomorphic factorization of WZW and coset models

Witten, Edward

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p. 189-212

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Global existence and exponential stability of small solutions to nonlinear viscoelasticity

Kawashima, S. ; Shibata, Y.

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p. 189-208

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The semiclassical limit for gauge theory on $S^2$

Sengupta, Ambar

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p. 191-197

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Examples of compact matrix pseudogroups arising from the twisting operation

Andruskiewitsch, N. ; Enriquez, B.

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p. 195-207

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Hamiltonian formalism of Whitham-type hierarchies and topological Landau-Ginsburg models

Dubrovin, B. A.

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p. 195-207

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Realizability of a model in infinite statistics

Zagier, Don

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p. 199-210

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Sharp bounds on the number of scattering poles for perturbations of the Laplacian

Vodev, Georgi

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p. 205-216

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A family of metrics on the moduli space of ${\bf C}{\rm P}^2$ instantons

Habermann, Lutz

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p. 209-216

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Lines in space-times

Eschenburg, J.-H. ; Galloway, G. J.

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p. 209-216

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Fluctuations of one-dimensional Ginzburg-Landau models in nonequilibrium

Chang, Chih Chung ; Yau, Horng-Tzer

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p. 209-234

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The energy operator for infinite statistics

Stanciu, Sonia

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p. 211-216

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On multivortices in the electroweak theory. II. Existence of Bogomol'nyĭ solutions in ${\bf R}^2$

Spruck, Joel ; Yang, Yi Song

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p. 215-234

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The quantum Poincaré-Birkhoff-Witt theorem

Berger, Roland

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p. 215-234

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Inertial range scaling of laminar shear flow as a model of turbulent transport

Zhang, Qiang ; Glimm, James

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p. 217-229

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On geometric phases for soliton equations

Alber, M. S. ; Marsden, J. E.

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p. 217-240

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Regularity and other properties of absolutely continuous invariant measures for the quadratic family

Rychlik, Marek ; Sorets, Eugene

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p. 217-236

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On certain infinite-dimensional aspects of Arakelov intersection theory

Bismut, Jean-Michel

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p. 217-248

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Stark resonances in disordered systems

Grecchi, Vincenzo ; Maioli, Marco ; Sacchetti, Andrea

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p. 231-240

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Classical BRST cohomology and invariant functions on constraint manifolds. I

Forger, Michael ; Kellendonk, Johannes

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p. 235-251

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Finite-size scaling and surface tension from effective one-dimensional systems

Borgs, Christian ; Imbrie, John Z.

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p. 235-280

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Causality in local quantum field theory: some general results

Iagolnitzer, D.

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p. 235-255

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Geometric quantization of the BRST charge

Tuynman, G. M.

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p. 237-265

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Estimates and extremals for zeta function determinants on four-manifolds

Branson, Thomas P. ; Chang, Sun-Yung A. ; Yang, Paul C.

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p. 241-262

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Structures of $S$-matrices for three body Schrödinger operators

Isozaki, Hiroshi

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p. 241-258

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Irrational free field resolutions for $W({\rm sl}(n))$ and extended Sugawara construction

Niedermaier, M.

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p. 249-281

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Summations over equilaterally triangulated surfaces and the critical string measure

Smit, Dirk-Jan

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p. 253-285

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Analyticity of the scattering operator for the nonlinear Klein-Gordon equation with cubic nonlinearity

Kumlin, Peter

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p. 257-278

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Nonlinear scattering with nonlocal interaction

Nawa, Hayato ; Ozawa, Tohru

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p. 259-275

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Solving the KP hierarchy by gauge transformations

Chau, Ling-Lie ; Shaw, J. C. ; Yen, H. C.

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p. 263-278

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Deformations of super Riemann surfaces

Ninnemann, Holger

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p. 267-288

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Monstrous Moonshine from orbifolds

Tuite, Michael P.

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p. 277-309

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The quantum strip: Liouville theory for open strings

Cremmer, Eugène ; Gervais, Jean-Loup

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p. 279-301

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Dressing symmetries

Babelon, Olivier ; Bernard, Denis

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p. 279-306

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Space-time picture of semiclassical resonances

Gérard, C. ; Sigal, I. M.

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p. 281-328

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The spinor heat kernel in maximally symmetric spaces

Camporesi, Roberto

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p. 283-308

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A model system for strong interaction between internal solitary waves

Bona, Jerry L. ; Ponce, Gustavo ; Saut, Jean-Claude ; Tom, Michael M.

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p. 287-313

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Smooth conjugacy and S-R-B measures for uniformly and non-uniformly hyperbolic systems

de la Llave, R.

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p. 289-320

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The equivalence of the logarithmic Sobolev inequality and the Dobrushin-Shlosman mixing condition

Stroock, Daniel W. ; Zegarliński, Bogusław

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p. 303-323

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Special geometry, cubic polynomials and homogeneous quaternionic spaces

de Wit, B. ; Van Proeyen, A.

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p. 307-333

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Classical solutions of the quantum Yang-Baxter equation

Weinstein, Alan ; Xu, Ping

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p. 309-343

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Finite-volume statistical mechanics of two-component Coulomb-like systems and the principle of macroscopic equivalence

Kiessling, Michael K.-H.

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p. 311-331

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The CPT-theorem in two-dimensional theories of local observables

Borchers, H.-J.

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p. 315-332

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Towards a rigorous treatment of the Jeans-Landau-Teller method for the energy exchanges of harmonic oscillators

Carati, Andrea ; Benettin, Giancarlo ; Galgani, Luigi

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p. 321-336

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Global stability of the rarefaction wave of a one-dimensional model system for compressible viscous gas

Matsumura, Akitaka ; Nishihara, Kenji

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p. 325-335

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String vertices, overlap equations, $\tau$ functions and the Hirota equation

Nilsson, B. E. W. ; West, P.

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p. 329-344

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The structure of naked singularity in self-similar gravitational collapse

Joshi, P. S. ; Dwivedi, I. H.

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p. 333-342

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$W$-algebras for generalized Toda theories

O'Raifeartaigh, L. ; Ruelle, P. ; Tsutsui, I. ; Wipf, A.

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p. 333-354

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Hidden quantum groups inside Kac-Moody algebra

Alekseev, A. ; Faddeev, L. ; Semenov-Tian-Shansky, M.

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p. 335-345

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Classification of singular Sobolev connections by their holonomy

Sibner, L. M. ; Sibner, R. J.

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p. 337-350

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Rigorous results for the free energy in the Hopfield model

Albeverio, S. ; Tirozzi, B. ; Zegarliński, B.

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p. 337-373

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Cyclic homology of differential operators, the Virasoro algebra and a $q$-analogue

Kassel, Christian

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p. 343-356

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Solutions without phase-slip for the Ginsburg-Landau equation

Collet, P. ; Eckmann, J.-P.

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p. 345-356

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Selection rules for topology change

Gibbons, G. W. ; Hawking, S. W.

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p. 345-352

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On the measure of gaps and spectra for discrete $1$D Schrödinger operators

Last, Y.

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p. 347-360

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Level-rank duality of WZW models in conformal field theory

Nakanishi, Tomoki ; Tsuchiya, Akihiro

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p. 351-372

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On the selection rules for spin-Lorentz cobordisms

Giulini, Domenico

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p. 353-357

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Punctures on super Riemann surfaces

Giddings, Steven B.

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p. 355-370

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Nondegenerate curves on $S^2$ and orbit classification of the Zamolodchikov algebra

Khesin, B. A. ; Shapiro, B. Z.

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p. 357-362

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Ergodic systems of $n$ balls in a billiard table

Bunimovich, Leonid ; Liverani, Carlangelo ; Pellegrinotti, Alessandro ; Suhov, Yurii

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p. 357-396

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The extended Bethe ansatz for infinite $S=1/2$ quantum spin chains with non-nearest-neighbor interaction

Inozemtsev, V. I.

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p. 359-376

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The existence of nontopological solitons in the self-dual Chern-Simons theory

Spruck, Joel ; Yang, Yi Song

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p. 361-376

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Non-self-dual Yang-Mills connections with quadrupole symmetry

Sadun, Lorenzo ; Segert, Jan

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p. 363-391

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Infinite-dimensional Grassmannian structure of two-dimensional quantum gravity

Fukuma, Masafumi ; Kawai, Hikaru ; Nakayama, Ryuichi

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p. 371-403

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On the uniqueness of static perfect-fluid solutions in general relativity

Beig, R. ; Simon, W.

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p. 373-390

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The ground state energy of Schrödinger operators

Gesztesy, F. ; Graf, G. M. ; Simon, B.

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p. 375-384

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Limit behavior of saturated approximations of nonlinear Schrödinger equation

Merle, F.

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p. 377-414

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Degeneracy in loop variables

Goldberg, J. N. ; Lewandowski, J. ; Stornaiolo, C.

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p. 377-402

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Coherent states and geometric quantization

Odzijewicz, Anatol

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p. 385-413

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Holomorphy of the scattering matrix with respect to $c^{-2}$ for Dirac operators and an explicit treatment of relativistic corrections

Bulla, W. ; Gesztesy, F. ; Unterkofler, K.

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p. 391-416

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Yang-Mills fields which are not self-dual

Bor, Gil

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p. 393-410

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Current algebra of classical nonlinear sigma models

Forger, M. ; Laartz, J. ; Schåper, U.

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p. 397-402

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Vertex operator representation of some quantum tori Lie algebras

Golenishcheva-Kutuzova, M. ; Lebedev, D.

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p. 403-416

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Super-Toda theories and $W$-algebras from superspace Wess-Zumino-Witten models

Delduc, F. ; Ragoucy, E. ; Sorba, P.

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p. 403-426

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Complements to various Stone-Weierstrass theorems for $C^*$-algebras and a theorem of Shultz

Brown, Lawrence G.

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p. 405-413

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Une nouvelle définition de l'entropie dynamique des systèmes non commutatifs

Sauvageot, Jean-Luc ; Thouvenot, Jean-Paul

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p. 411-423

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The dispersionless Lax equations and topological minimal models

Krichever, Igor Moiseevich

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p. 415-429

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A nonintegrable model in general relativity

Moeckel, Richard

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p. 415-430

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Deformation estimates for the Berezin-Toeplitz quantization

Coburn, L. A.

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p. 415-424

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Irreducible highest weight representations of quantum groups $U_q({\rm gl}(n,{\bf C}))$

Burdík, Č. ; Havlíček, M. ; Vančura, A.

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p. 417-423

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Operator equalities related to the quantum $E(2)$ group

Woronowicz, S. L.

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p. 417-428

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On the classification of $N=2$ superconformal coset theories

Schweigert, Christoph

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p. 425-431

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Wild hyperbolic sets, yet no chance for the coexistence of infinitely many KLUS-simple Newhouse attracting sets

Nusse, Helena E. ; Tedeschini-Lalli, Laura

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p. 429-442

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A criterion for flatness in minimal area metrics that define string diagrams

Ranganathan, K.

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p. 429-445

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Dual polygonal billiards and necklace dynamics

Gutkin, Eugene ; Simånyi, Nåndor

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p. 431-449

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Hidden symmetry breaking and the Haldane phase in $S=1$ quantum spin chains

Kennedy, Tom ; Tasaki, Hal

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p. 431-484

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An asymptotic expression for the splitting of separatrices of the rapidly forced pendulum

Delshams, Amadeo ; Seara, Teresa M.

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p. 433-463

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Perturbation theory for kinks

Stuart, David M. A.

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p. 433-462

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Finitely correlated states on quantum spin chains

Fannes, M. ; Nachtergaele, B. ; Werner, R. F.

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p. 443-490

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Floquet solutions for the $1$-dimensional quasi-periodic Schrödinger equation

Eliasson, L. H.

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p. 447-482

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Central limit theorems for the one-dimensional Rayleigh gas with semipermeable barriers

Erdős, L. ; Tuyen, Dao q.

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p. 451-466

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The Pfaffian line bundle

Borthwick, David

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p. 463-493

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Classification of the indecomposable bounded admissible modules over the Virasoro Lie algebra with weightspaces of dimension not exceeding two

Martin, Christiane ; Piard, Alain

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p. 465-493

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Exponent inequalities for the bulk conductivity of a hierarchical model

Golden, K.

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p. 467-499

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An extension of the Borel-Weil construction to the quantum group ${\rm U}_q(n)$

Biedenharn, L. C. ; Lohe, M. A.

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p. 483-504

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Determinants, finite-difference operators and boundary value problems

Forman, Robin

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p. 485-526

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Topology, unitary representations and charged particles

Papadopoulos, George

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p. 491-508

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Classifying spaces for quantum principal bundles

Müller, Andreas

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p. 495-512

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$q$-deformed Poincaré algebra

Ogievetsky, O. ; Schmidke, W. B. ; Wess, J. ; Zumino, B.

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p. 495-518

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A special class of stationary flows for two-dimensional Euler equations: a statistical mechanics description

Caglioti, E. ; Lions, P.-L. ; Marchioro, C. ; Pulvirenti, M.

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p. 501-525

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A global formalism for nonlinear waves in conservation laws

Isaacson, Eli L. ; Marchesin, Dan ; Palmeira, C. Frederico ; Plohr, Bradley J.

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p. 505-552

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Expanding direction of the period doubling operator

Jiang, Yun Ping ; Morita, Takehiko ; Sullivan, Dennis

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p. 509-520

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Action of truncated quantum groups on quasi-quantum planes and a quasi-associative differential geometry and calculus

Mack, Gerhard ; Schomerus, Volker

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p. 513-548

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Chern-Simons solitons, Toda theories and the chiral model

Dunne, Gerald

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p. 519-535

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Rigorous diffusion properties for the sawtooth map

Bellissard, J. ; Vaienti, S.

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p. 521-536

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Error bound for the Hartree-Fock energy of atoms and molecules

Bach, Volker

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p. 527-548

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A generalized spectral duality theorem

Chojnacki, Wojciech

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p. 527-544

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The parallel propagator as basic variable for Yang-Mills theory

Kozameh, Carlos ; Mason, Lionel ; Newman, Ezra T.

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p. 537-544

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Spectral properties of a class of operators associated with conformal maps in two dimensions

Ruelle, David

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p. 537-556

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Reduction formulae for Euclidean lattice theories

Barata, Joåo C. A.

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p. 545-558

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Quantum mechanics of gravitational collapse

Håjíček, P.

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p. 545-559

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Weak disorder expansions for the Anderson model on a one-dimensional strip at the center of the band

Speis, Athanasios

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p. 549-571

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Two-dimensional Lorentz-Weyl anomaly and gravitational Chern-Simons theory

Chamseddine, A. H. ; Fröhlich, J.

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p. 549-562

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Level $1$ WZW superselection sectors

Fuchs, Jürgen ; Ganchev, Alexander ; Vecsernyés, Peter

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p. 553-583

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Finite-dimensional representations of the quantum Lorentz group

Takeuchi, Mitsuhiro

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p. 557-580

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Generalized Schrödinger equations and Jordan pairs

Svinolupov, S. I.

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p. 559-575

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Global existence of solutions of the spherically symmetric Vlasov-Einstein system with small initial data

Rein, G. ; Rendall, A. D.

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p. 561-583

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Chern-Simons-Witten invariants of lens spaces and torus bundles, and the semiclassical approximation

Jeffrey, Lisa C.

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p. 563-604

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Regularization and convergence for singular perturbations

Neidhardt, H. ; Zagrebnov, V. A.

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p. 573-586

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The realm of the vacuum

Buchholz, Detlev ; Wanzenberg, Rainer

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p. 577-589

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Spineurs, opérateurs de Dirac et variations de métriques

Bourguignon, Jean-Pierre ; Gauduchon, Paul

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p. 581-599

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Convergence to diffusion waves of solutions to nonlinear viscoelastic model with fading memory

Zeng, Yanni

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p. 585-609

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The Newtonian limit of the spherically symmetric Vlasov-Einstein system

Rein, G. ; Rendall, A. D.

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p. 585-591

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On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein's field equations

Andersson, Lars ; Chruściel, Piotr T. ; Friedrich, Helmut

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p. 587-612

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The triangle law for Lyapunov exponents of large random matrices

Isopi, Marco ; Newman, Charles M.

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p. 591-598

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Bohr-Sommerfeld orbits in the moduli space of flat connections and the Verlinde dimension formula

Jeffrey, Lisa C. ; Weitsman, Jonathan

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p. 593-630

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Convergence to nonlinear diffusion waves for solutions of a system of hyperbolic conservation laws with damping

Hsiao, Ling ; Liu, Tai-Ping

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p. 599-605

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On the solvability of Painlevé ${\rm II}$ and ${\rm IV}$

Fokas, A. S. ; Zhou, Xin

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p. 601-622

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Noncommutative spheres. III. Irrational rotations

Bratteli, Ola ; Kishimoto, Akitaka

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p. 605-624

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On the Born-Oppenheimer expansion for polyatomic molecules

Klein, M. ; Martinez, A. ; Seiler, R. ; Wang, X. P.

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p. 607-639

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Quantum continual measurements and a posteriori collapse on CCR

Belavkin, V. P.

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p. 611-635

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Hamiltonian collapsing of irrational Lagrangian submanifolds with small first Betti number

Lalonde, François

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p. 613-622

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Calculation of general $p$-adic Feynman amplitude

Smirnov, V. A.

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p. 623-636

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Toward a canonical formalism of nonperturbative two-dimensional gravity

Yoneya, Tamiaki

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p. 623-639

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Complex quantum groups and their quantum enveloping algebras

Drabant, Bernhard ; Schlieker, Michael ; Weich, Wolfgang ; Zumino, Bruno

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p. 625-633

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Author index to Volumes 141--150 (1991--1992)

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p. 631-641

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Vector fields on complex quantum groups

Chryssomalakos, Chryss ; Drabant, Bernhard ; Schlieker, Michael ; Weich, Wolfgang ; Zumino, Bruno

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p. 635-646

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Erratum: ``Proof of chiral symmetry breaking in strongly coupled lattice gauge theory''

Salmhofer, M. ; Seiler, E.

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p. 637-638

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Quantum ${\rm SU}(2)$ and $E(2)$ groups. Contraction procedure

Woronowicz, S. L.

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p. 637-652

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Even-dimensional generalization of Chern-Simons action and new gauge symmetry

Kawamoto, Noboru ; Watabiki, Yoshiyuki

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p. 641-648

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Instantons and mirror $K3$ surfaces

Bogomolov, Fedor ; Braam, Peter J.

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p. 641-646

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Erratum: ``Semi-infinite Weil complex and the Virasoro algebra''

Feigin, Boris ; Frenkel, Edward

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p. 647-648

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